English

A note on two weight commutators of maximal functions on spaces of homogeneous type

Functional Analysis 2020-12-02 v1 Classical Analysis and ODEs

Abstract

We study the two weight quantitative estimates for the commutator of maximal functions and the maximal commutators with respect to the symbol in weighted BMO space on spaces of homogeneous type. These commutators turn out to be controlled by the sparse operators in the setting of space of homogeneous type. The lower bound of the maximal commutator is also obtained.

Keywords

Cite

@article{arxiv.2012.00575,
  title  = {A note on two weight commutators of maximal functions on spaces of homogeneous type},
  author = {Ruming Gong and Manasa N. Vempati and Qingyan Wu},
  journal= {arXiv preprint arXiv:2012.00575},
  year   = {2020}
}

Comments

arXiv admin note: text overlap with arXiv:1809.07942